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Finding the Third Proportional to 15,286.22 and 33,374.53

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Solution

The third proportional to 15,286.22 and 33,374.53 is: 72,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.22 : 33,374.53 = 33,374.53 : x
  2. Step 2: Convert to fraction form
    15,286.22/33,374.53 = 33,374.53/x
  3. Step 3: Cross multiply
    15,286.22x = 33,374.53 × 33,374.53
  4. Step 4: Simplify right side
    15,286.22x = 1,113,859,336.16
  5. Step 5: Solve for x
    x = 1,113,859,336.16/15,286.22
  6. Step 6: Final answer
    x = 72,866.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.